Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

Density of states techniques for fermion worldlines

Aug 10, 2022, 4:30 PM
20m
CP1-HSZ/1st-1.004 - HS7 (CP1-HSZ)

CP1-HSZ/1st-1.004 - HS7

CP1-HSZ

70
Oral Presentation Algorithms (including Machine Learning, Quantum Computing, Tensor Networks) Algorithms

Speaker

Christof Gattringer (Austrian Science Fund FWF and University of Graz, Austria)

Description

Worldline representations were established as a powerful tool for studying bosonic lattice field theories at finite density. For fermions, however, the worldlines still may carry signs that originate from the Dirac algebra and from the Grassmann nature of the fermion fields. We show that a density of states approach can be set up to deal with this remaining sign problem, where finite density is implemented by working with a fixed winding number of the fermion worldlines. We discuss the approach in detail and show first results of a numerical implementation in 2 dimensions.

Primary author

Christof Gattringer (Austrian Science Fund FWF and University of Graz, Austria)

Presentation materials